Wavefunction normalisation and expectation values

1. The problem statement, all variables and given/known data
See Image, Sorry Its easier for me to attach images than writing all equation on the forum's keyboard!
I only need to check if i'm working it out correctly up to the position expectation value because I don't want to dive in the rest on wrong basis !

Yeah still trying to learn latex, anyway, where the question asks to prove momentum expectation value is zero without integrals I get stuck, I got <p^2> = \frac{12/h^2}{13 } which still doesnt make sense to me, the units don't work!